What comes next in the sequence: 1, 3, 11, 43,

171,

Step-by-step explanation:

We have the sequence 1 , 3 , 11 , 43 , __.

Let us say , , , and it is required to find out  .

As, we can see the pattern from the given four terms that,

i.e.

i.e.

i.e.

Since, the next term is obtained by adding the previous terms by odd powers of two.

Therefore, i.e. i.e i.e.

So, .

Hence, the next term of the sequence is 171.

rx and sx

step-by-step explanation:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints